Last week at the park, Heather ran 4 miles in 48 minutes. When she runs her next race, she hopes to improve her time by 2 minutes per mile.
Last week at the park, what was Heather’s rate of speed in miles per hour? Use words and/or numbers to explain your answer.​

Answers

Answer 1

Answer:

she ran 10 miles a hour

Step-by-step explanation:

she runs 10 miles a hour because she wants to improve her time per mile by 2 minutes so you do 2x4 and get 8, then you subtract 8 from 48 and get 40 then you divide 40 by 4 and get 10

Answer 2

Heather's rate of speed last week was 1/12 miles/min.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that last week at the park, Heather ran 4 miles in 48 minutes. When she runs her next race, she hopes to improve her time by 2 minutes per mile.

Heather's rate of speed last week -

{r} = 4/48 = 1/12 miles/min

{r} = 1/12 miles/min

Therefore, Heather's rate of speed last week was 1/12 miles/min.

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Related Questions

Which equation can be used to solve for x in the parallelogram below?


A) 3x-12=6x+12

B) (7x-8)+(6x+12)=90

C) 3x-12=2x+8

D) (7x-8)+(6x+12)=180

Answers

Answer:

B. (3x - 12)° = (2x + 8)°

Step-by-step explanation:

This equation can be used to solve x.

3x - 12 = 2x + 8

3x - 2x = 12 + 8

x = 20°

-------------------------------------------------------------------

Verification:

3(20) - 12 = 2(20) + 8

60 - 12 = 40 + 8

48° = 48°

Please help!! Giving brainliest and extra points!! (Click on photo)

Answers

Answer:

14

Step-by-step explanation:

what are the first five terms the sequence: an = 3n + 7​

Answers

Answer:

Step-by-step explanation:

we assume that we starts with n=1

a(1)=3*1+7=10

a(2)=6+7=13

a(3)=9+7=16

a(4) will be 19, a(5)=22 and so on

If f (x) - 3(x + 5) +-, what is f(a + 2)?
4.
A. 3(a + 7) +
4+2
4
B. 3(a + 2) +- + 2
C. 30 (4) +5) +-
ja) + 2

Answers

Answer:

A

Step-by-step explanation:

Just plug in [tex]x=a+2[/tex].

Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by h(t)=5+25t-16t^2, where t is the time in seconds.

a) How much time will pass before Jon hits the ball? (round to the nearest tenth of a second)
b) What is the time in which the maximum height the ball attains? ( to the nearest hundredth of a second)

Answers

Answer: A= 1.60 sec

And I am not sure if B is correct, but I got 14.77 ft.

Step-by-step explanation:

t = 1.602 seconds will pass before Jon hits the ball.At t = 0.79 seconds the ball attains maximum height.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Jon who is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by -

h(t) = 5 + 25t - 16t²

where [t] is the time in seconds.

[A] -

At h = 4ft, we can write -

4 = 5 + 25t - 16t²

- 16t² + 25t + 1 = 0

On solving, we get -

t = 1.602 seconds

[B] -

We have -

h(t) = 5 + 25t - 16t²

For maximum height -

dh/dt = 0

d/dt(5 + 25t - 16t²) = 0

0 + 25 - 32t = 0

32t = 25

t = 25/32

t = 0.79 seconds

Therefore -

t = 1.602 seconds will pass before Jon hits the ball.At t = 0.79 seconds the ball attains maximum height.

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What single transformation was applied to triangle A to get triangle B?

Answers

Answer:

should be reflection

Step-by-step explanation:

bc a translation would just move it and rotation and dilation wouldn't work either

The single transformation was applied to triangle A to get triangle B is a reflection, in which A is reflected around the y-axis.

What is reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.

Given:

The triangles A and B are shown in the given figure,

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original,

Rotation is the process of going around a center.

A shape is translated when it is moved up, down, left, or right without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes.

Thus, triangle A is reflected as B.

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If SU and VX are parallel lines and mUTR = 115°, what is mSTW?

Answers

Answer:

m STW = 115°

Step-by-step explanation:

here, SU || VX

m STW = m UTR

( vertical opposite angles )

Hence, STW = 115°

The bronx zoo opened at 9.00 am. In the first hour 280 people purchased admission tickets. In the second hour 25 percent more people purchased admission people than the first hour . Each ticket cost 16.25. What was the total amount of money paid for all the tickets purchased in the first two hours

Answers

Answer:

Total amount paid for tickets in the two hours =  $10,237.50

Step-by-step explanation:

Step 1

Ist Hour, 280 tickets were sold at the cost of $16.25

Amount of money made in the first hour= Number of people who purchased ticket  x price of a ticket

=280 x 16.25 =$4,550

2nd Hour, 25 % more people purchased ,

which means the total number of people who purchased tickets =

1.25 x 280= 350

Amount of money made in second hour =  Number of people who purchased ticket  x price of a ticket 350 x 16.25 =$5,687.5

Step 2

Total amount paid for tickets in the two hours =  Amount of money made in the first hour +Amount of money made in second hour

=$4,550+ $5,687.5

=$10,237.50

Help I don’t understand please

Answers

Answer:

i dont know kinda weird

Step-by-step explanation:

7th-grade equation math. Will give brainiest.

Answers

Answer:

x = 14

Step-by-step explanation:

can someone plz help

Answers

Answer:

16

Step-by-step explanation:

Answer:

Your Answer is 16 bro Okk and good morning and please mark me as brainliest

I just need an explanation for both of these! Help would be greatly appreciated, thanks. :))

Answers

Answer:

1. Well, to cross multiply them you multiply the numerator in the first fraction times the denominator in the second fraction, then you write that number down. ... The reason we cross multiply fractions is to compare them. Cross multiplying fractions tells us if two fractions are equal or which one is greater.

2. Cross multiplying fractions to find a missing numerator or denominator for equivalent fractions works because it is a shortcut for rearranging to isolate the variable.

Step-by-step explanation:

Join my zo0m plz

https://zo om.us/j/95168253981?pwd=b3QzZWlON2ZSbU1ZalFTcnFuUCtIdz09

take the space out

how do you graph 7x + 2y = -8

Answers

Answer:You set it up as y=mx+b

Step-by-step explanation:

hELP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

It’s the number hairline

Step-by-step explanation:

Hairline cut it straight

Answer:

16x16x16x16

Step-by-step explanation:

50 = 2n + 22 is ??
( it would help if you explain I’m having trouble lol ! )

Answers

No idea just need the points

Answer:

n=14

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Every autumn, the North American Monarch
butterfly migrates up to 3,000 miles to California and Mexico where it hibernates
until early spring. The butterfly travels on average 50 miles per day.

Answers

Part A

The equation is d = 50t

This is because the slope of 50 represents how many miles per day the butterflies cover (on average). The y intercept is 0 to indicate that 0 miles have been traveled initially.

You can think of this as the equation y = 50x

If t = 1, then d = 50t = 50*1 = 50 miles have been covered

If t = 2, then d = 50t = 50*2 = 100 miles have been covered

And so on.

==========================================================

Part B

You'll have these values in the bottom row (in the order presented): 50, 100, 150, 200, 250

You can plug in the values t = 1, t = 2, t = 3, t = 4 and t = 5 into d = 50t to find those answers in bold.

Or you could add on 50 each time to generate each new value. We start at 50 since t = 1 corresponds to d = 50.

==========================================================

Part C

You can keep the pattern of 50,100,150, ... going until you reach 2500. Then note the t value that pairs with d = 2500

In my opinion, that's the slower method.

The quicker method is to plug d = 2500 into the equation for part A, and then solve for t.

d = 50t

2500 = 50t

50t = 2500

50t/50 = 2500/50 ....... divide both sides by 50

t = 50

It will take 50 days for the average distance traveled to be 2500 miles.

HELP I’LL GIVE BRAINIEST

Answers

3 , 2 , 1 ,4
Explaining:

Answer:

1 = Definition of a parallelogram

2 = Alternate interior angle theorem

3 = Angle addition postulate

4 = Substitution

Solve for <6 pls :)) (Picture below)

Answers

Answer: 137°

Step-by-step explanation:

If you take the angle that is 43° and take 180°-43°

you get 137° this gives you angle 3 and since angle 3 and 6 are the same, angle 6 will equal 137°

A. For sequence A, describe a way to get each new term.
B. Write an explicit rule for sequence A. Include tn and n inside the rule correctly.
C.For sequence B describe a way to get each new term.
D. Write an explicit rule for sequence B. Include tn and n-1 inside the rule correctly.
E. Use the rule you created on B and D if these sequences continue, when which is greater, A(9) or B(9)? Explain or show how you know.

Answers

Answer:

HELP ME & ILL HELP YOUUUUU

A cyclist rides a distance of 36 km at an average speed of 16 km/h.

Calculate the time taken to complete this ride. Give your answer in hours and minutes.

Please Help!

Answers

Answer:

2.25 hours, or 2 hours and 15 minutes.

Step-by-step explanation:

All we do is 36/16 which is 2.25. 0.25 or 1/4 of an hour is 15 minutes. So, your answer is 2 hours and 15 minutes.

It takes 2 hour and 12 minutes for the cyclist to complete the ride of 36km distance.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Total distance covered by cyclist= 36km

Average speed of the cyclist = 16km/hr

Therefore, using unitary method:

                16 km distance takes time = 1hr

Therefore, 1 km distance takes time =(1/16)hr

Therefore, 36 km distance takes time = (1/16)×36 hr

                                                     =(1/4)×9 hr

                                                     =9/4 hr

                                                     =2.25 hr

                                                      =(2+0.25)hr

                                                      =2hr+0.25hr

                                                      =2hr+0.25×60minutes

                                                      =2hr and 15 minutes.

Hence, it takes 2hr and 15 minutes for the cyclist to complete 36 km rides.

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Explain how to solve the equation 3.5n = 10.5 , what is the value of n ?

Answers

Answer:

n=3

Step-by-step explanation:

Divide both sides by 3.5

n=  3.5 /10.5

Simplify  3.5 /10.5  to  3.

N=3

 

Answer:

n = 3

Step-by-step explanation:

Divide both sides by 3.5 to isolate n on one side.

[tex]3.5n=10.5\\\\\frac{3.5n=10.5}{3.5}\\\\\boxed{n=3}[/tex]

Hope this helps.

A 2 column table with 5 rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, negative 6, negative 4.5, negative 3, negative 1.5. A 2 column table with 5 rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, 6.1, 2.1, negative 1.9, negative 5.9.
Complete the statements about the system of linear equations represented by the tables.

The equation representing the left table is

.

The equation representing the right table is

.

The solution to the system of equations is

Answers

Answer:

The equation representing the left table is:  

y = 1.5x – 6

The equation representing the right table is:  

y = –4x + 6.1

The solution to the system of equations is:  

(2.2, –2.7)

Equation representing the left table is y=1.5x-6, Equation representing the right table is y=-4x+6.1 and solution is (2.2, -2.7).

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The first table is

x            y

0           -6

1            -4.5

2            -3

3             -1.5

Slope = -4.5+6/1

=1.5

Now let us find y intercept

-6=1.5(0)+b

-6=b

So the equation representing the left table is y=1.5x-6

Now let us find second table

x            y

0           6.1

1             2.1

2           -1.9

3            -5.9

m=2.1-6.1/1=-4

Now y intercept

2.1=-4+b

b=2.1+4

b=6.1

Equation representing the right table is y=-4x+6.1

Now equate two equations

1.5x-6=-4x+6.1

1.5x+4x=6.1+6

5.5x=12.1

x=12.1/5.5

x=2.2

and y=-4(2.2)+6.1

y=-8.8+6.1

y=-2.7

Hence, equation representing the left table is y=1.5x-6, Equation representing the right table is y=-4x+6.1 and solution is (2.2, -2.7).

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The percentage 21 is of 28 is equal to the percentage 30 is of 40 is




True or false

Answers

Answer:

No

Step-by-step explanation:

75%

21

28 5.88

21 x 28

100

= 5.88

x 100% = 75%33.3333333333%

28 - 21

21

x 100% = 33.3333333333%

Answer:

true

Step-by-step explanation:

Type the correct answer in the box.
The product of (3 - 4) and (blank)
is 25.

Answers

Answer:

-25

Step-by-step explanation:

Since product mean multiply, we multiply (3-4) and (blank), which we'll call "n".

(3-4)n = 25

subtract in parentheses

(-1)n = 25

remove parentheses

-1n = 25

swap signs

n = -25

Yesterday, there were 50 problems assigned for math homework. Nate got 28 out of 50 problems correct. What percentage did Nate get correct?

Answers

Answer:

56

Step-by-step explanation:

28/50 thats what you have now you need to make it into 100 so you do 50x2=100 28x2=56 the answer 56/100 and the max is 100 percent so the answer is Nate Got 56 percent on the math homework

A right triangle has legs with lengths of 6in and 8in. What is the length of the hypotenuse

Answers

You require the Pythagorean Theorem: in a right triangle the sum of the squares of the legs equals the square of the hypotenuse.
In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2, i.e. the hypotenuse is 10.
Please note that a so-called 3-4-5 right triangle is the smallest right triangle which has integer sides...and of course, a 6-8-10 triangle like this one is simply a magnification of the smaller, i.e. a so-called similar triangle.

Answer: 10

Step-by-step explanation:

the formula is √a^2+b^2=c^2

so your equation should look like this √6^2+8^2=c^2

6·6=36

8·8=64

√36+64

√100=10

the hypotenuse or c^2 is 10

c) If a pen and a pencil cost £1.10 for both and the pen
costs £1 more than the pencil, what is the cost of the pen?

Answers

Answer:

$3.10

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Nora works at a retail store. She earns a commission of $5.50 on each item she sells. If she sells 17 items, how much does she earn from commissions?
If Nora sells 17 items, she earns $
from commissions.

Answers

Answer:

$93.50

Step-by-step explanation:

$5.50 x 17 = $93.50

Hope that helps!

Answer:

$93.50

Step-by-step explanation:

pleaseee help ill mark brainliest i swear please help

Answers

Answer:

45

Step-by-step explanation:

each bracelet takes 15 min

15*3=45

1 hour = 60 minutes..

In 1 hour she makes 4

In 2 hours (120 minutes) she makes 8

So in each hour she makes 4 ( 8 /2 = 4)

So In 3 hours she will make 3 x 4 = 12 bracelets

Which table represents a linear function?

Answers

It would be the first one because it’s going up by a constant rate
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